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Finding the Fourth Proportional to 13,029.54, 19,544.93 and 4,145.76

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Solution

The fourth proportional to 13,029.54, 19,544.93 and 4,145.76 is: 6,218.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,029.54 : 19,544.93 = 4,145.76 : x
  2. Step 2: Convert to fraction form
    13,029.54/19,544.93 = 4,145.76/x
  3. Step 3: Cross multiply
    13,029.54x = 19,544.93 × 4,145.76
  4. Step 4: Simplify right side
    13,029.54x = 81,028,568.27
  5. Step 5: Solve for x
    x = 81,028,568.27/13,029.54
  6. Step 6: Final answer
    x = 6,218.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.